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Finding the Fourth Proportional to 81,618.78, 122,447.82 and 34,207.86

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Solution

The fourth proportional to 81,618.78, 122,447.82 and 34,207.86 is: 51,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,618.78 : 122,447.82 = 34,207.86 : x
  2. Step 2: Convert to fraction form
    81,618.78/122,447.82 = 34,207.86/x
  3. Step 3: Cross multiply
    81,618.78x = 122,447.82 × 34,207.86
  4. Step 4: Simplify right side
    81,618.78x = 4,188,677,883.87
  5. Step 5: Solve for x
    x = 4,188,677,883.87/81,618.78
  6. Step 6: Final answer
    x = 51,320.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.